481966044480 has 392 divisors, whose sum is σ = 1811316976800. Its totient is φ = 121758723072.

The previous prime is 481966044431. The next prime is 481966044491. The reversal of 481966044480 is 84440669184.

481966044480 is a `hidden beast` number, since 4 + 8 + 196 + 6 + 0 + 4 + 448 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4377951 + ... + 4486689.

Almost surely, 2^481966044480 is an apocalyptic number.

481966044480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481966044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905658488400).

481966044480 is an abundant number, since it is smaller than the sum of its proper divisors (1329350932320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

481966044480 is a wasteful number, since it uses less digits than its factorization.

481966044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108793 (or 108768 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 481966044480 in words is "four hundred eighty-one billion, nine hundred sixty-six million, forty-four thousand, four hundred eighty".